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Eisenstein series on quaternion half-space

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Abstract

Kaufhold [5] calculated the Fourier coefficients of the Siegel's Eisenstein series of degree 2 and obtained its analytic continuation and functional equation. In this paper, we follow his procedure to obtain the analytic continuation and a functional equation of the Eisenstein series on quaternion half-space defined by Krieg [7]. S. Nagaoka has announced a similar result (see below).

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Authors and Affiliations

  1. Dept. of Math., The University of Chicago, 60637, Chicago, IL, USA

    Henry H. Kim

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  1. Henry H. Kim
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Additional information

The author wishes to express his gratitude to Prof. Walter Baily Jr., for suggesting the topic of this research and for his encourgement and advice and to Dr. A. Krieg and the referee for helpful suggestions and corrections.

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Kim, H.H. Eisenstein series on quaternion half-space. Manuscripta Math 76, 85–104 (1992). https://doi.org/10.1007/BF02567748

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  • DOI: https://doi.org/10.1007/BF02567748

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